Prime p₀= 1199637049254040151 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 4 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 66 68 96 98 126 128
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 128
Found by: [AF>WildWildWest] RLDF
db: batch=77, k=12, 2 28 2 28 2 4

SPT(16)	1199636307109498201	0 6 12 48 58 100 132 138 160 166 198 240 250 286 292 298	-742144541950
SPT(16)	1199636337733471921	0 10 22 28 66 72 90 132 136 178 196 202 240 246 258 268	-711520568230
SPT(16)	1199636564053916447	0 12 50 62 84 90 92 182 264 354 356 362 384 396 434 446	-485200123704
STPT(10)	1199636571313142657	0 2 90 92 102 104 114 116 204 206	-477940897494
SPT(16)	1199636666477724103	0 24 100 114 126 150 166 178 186 198 214 238 250 264 340 364	-382776316048
STPT(10)	1199637009570344039	0 2 30 32 60 62 90 92 120 122	-39683696112
SPT(16)	1199637276666841351	0 10 16 28 96 106 136 162 226 252 282 292 360 372 378 388	227412801200
SPT(16)	1199637286821107501	0 48 56 90 98 108 122 152 276 306 320 330 338 372 380 428	237567067350
STPT(10)	1199637349690266239	0 2 18 20 30 32 42 44 60 62	300436226088
SPT(16)	1199637447728232463	0 46 66 96 114 118 156 186 208 238 276 280 298 328 348 394	398474192312
SPT(16)	1199637599784467491	0 70 76 118 130 172 186 252 256 322 336 378 390 432 438 508	550530427340